Question

The legs of an isosceles trapezoid have lengths of 48 - 7x and x + 8. What is the length of one of the legs?

Answer 1

13 units

Explanation:

The legs of an isosceles trapezoid are congruent, then

x + 8 = 48 - 7x ( add 7x to both sides )

8x + 8 = 48 ( subtract 8 from both sides )

8x = 40 ( divide both sides by 8 )

x = 5

Then

leg = x + 8 = 5 + 8 = 13